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On pairs of coprime integers with no large prime factors

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Publication:1182513
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zbMath0745.11043MaRDI QIDQ1182513

Andrew Granville

Publication date: 28 June 1992

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

Fermat's last theoremasymptotic formulaprimality testsintegers without large prime factorsGunderson's functionlower bounds on \(S\)-unit equationsupper bounds for \(k\)th power non-residues


Mathematics Subject Classification ID

Distribution of integers in special residue classes (11N69) Higher degree equations; Fermat's equation (11D41) Distribution of integers with specified multiplicative constraints (11N25) Primality (11Y11)


Related Items (7)

Two \(S\)-unit equations with many solutions ⋮ Divisibility of Fermat quotients ⋮ On the divisibility of Fermat quotients ⋮ On the value set of Fermat quotients ⋮ The lattice points of an \(n\)-dimensional tetrahedron ⋮ A Reduction of Integer Factorization to Modular Tetration ⋮ Integers without large prime factors




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